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JEE Advanced · Mathematics · 30. Vector Algebra

Let the position vectors of points P, Q, R and S be a=i^+2j^-5k^,b=3i^+6j^+3k^,c=175i^+165j^+7k^ and d=2i^+j^+k^, respectively. Then which of the following statements is true?

  1. A The points P, Q, R and S are NOT coplanar
  2. B b+2d3 is the position vector of a point which divides PR internally in the ratio 5: 4
  3. C b+2d3 is the position vector of a point which divides PR externally in the ratio 5: 4
  4. D The square of magnitude of the vector b×d is 95
Verified Solution

Answer & Solution

Correct Answer

(B) b+2d3 is the position vector of a point which divides PR internally in the ratio 5: 4

Step-by-step Solution

Detailed explanation

Given, P(1,2,-5), Q(3,6,3), R175,165,7 & S(2,1,1)
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